find step by step plzzzzz answer it.....
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Step-by-step explanation:
hope it helps you..........
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(√3-1)/(√3+1)=a-b√3
FIRST RATIONALISE IT
=>(√3-1)×(√3-1)/(√3+1)×(√3-1)
=>√3(√3-1)-1(√3-1)/(√3)²-1
=>(3-√3-√3+1)/3-1
=>4-2√3/2
=>2(2-√3)/2. (here 2 2 cancelled out)
=2-√3
comparing above with a-b√3
we get
a=2
b=1
Here
x = 3+ √8
x = (3+√8)(3-√8) / (3-√8)
x = (9 -8) / (3-√8)
x = 1/ (3 -√8)
Or we can write 1/x = (3-√8)
Put the value and find out
x² +(1/x²) = x² + (1/x)²
So x² + 1/ x² = (3 +√8)² + (3 -√8)²
= 9+6√8+8 + 9–6√8+8
= 34 .....ans....
put x=2 in p(x)
then,
2x²-3x+7a=0
2×(2)²-3×2+7a=0
2×4-6+7a=0
8-6+7a=0
2+7a=0
7a=-2
a=-2/7.....ans...
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